| 2n阶J-自伴向量微分算子的预解算子及其谱 |
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| 引用本文： | 刘肖云. 2n阶J-自伴向量微分算子的预解算子及其谱[J]. 肇庆学院学报, 2006, 27(2): 1-4 |
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| 作者姓名： | 刘肖云 |
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| 作者单位： | 内蒙古工业大学,理学院,内蒙古,呼和浩特,010062;肇庆学院,计算机科学系,广东,肇庆,526061 |
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| 基金项目： | 广东省自然科学基金资助项目(5012285)，内蒙古自然科学基金资助项目(20040802114) |
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| 摘 要： | 采用分析的方法,给出2n阶J-对称向量微分算式所生成的J-自伴向量微分算子在正则情形时的预解算子,得到其预解算子是积分算子及预解算子的核(Green函数)的一些基本性质;然后,从预解算子的全连续性证得:在正则情形下,其谱是离散的.
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| 关 键 词： | J-自伴向量微分算子 预解算子 Green函数 离散谱 全连续性 |
| 文章编号： | 1009-8445(2006)02-0001-04 |
| 修稿时间： | 2005-11-08 |
The Resolvent Operator and Spectrum of 2n-order J-self-adjoint Vector Differential Operator |
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| LIU Xiaoyun. The Resolvent Operator and Spectrum of 2n-order J-self-adjoint Vector Differential Operator[J]. Journal of Zhaoqing University (Bimonthly), 2006, 27(2): 1-4 |
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| Authors: | LIU Xiaoyun |
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| Abstract: | By the method of analysis,the resolvent operator of 2n-order J-selfadjoint vector differential operator is studied,which is regular at the ends a and b.The resolvent operator is an integral operator.Then,it's obtained that some analytic properties of the kernel of the resolvent operator(Green function)and the result that the resolvent operator is complete continuity and the spectrum is discrete. |
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| Keywords: | J-selfadjoint vector differential operators resolvent operator Green function discrete spectrum complete continuity |
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